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aleksklad [387]

2 years ago

7

Jordan used the distributive property to write an expression that is equivalent to 6c – 48. 6c - 48 is equivalent to 6(c - 48) I

s Jordan's work correct? Choose the correct answer.

2 answers:

Katyanochek1 [597]2 years ago

8 0

It’s incorrect.

The correct answer is 6(c - 8)

slega [8]2 years ago

6 0

No, the distributive property means that you multiply the coefficient in front of the brackets with everything in the brackets. Or, a(b+c) is equal to ab+ac, not just ab+c or b+ac. Jordan multiplied only c by 6 and left the 48 as it is, which is wrong, because 6(c-48) would be equal to 6*c - 6*48, not just 6*c - 48. The correct answer would be 6(c-8) because 6*8=48.

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After extensive measurements of the time necessary to complete the first homework assignment, a teacher determines that there is

MaRussiya [10]

Answer: -1.55

Step-by-step explanation:

Given : Mean : $\mu=100$

Standard deviation : $\sigma=20$

Sample size : $n=60$

Sample mean : $\overline{x}=96$

The test statistic for the population mean is given by :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

$\Rightarrow\ z=\dfrac{96-100}{\dfrac{20}{\sqrt{60}}}=-1.54919333848\approx-1.55$

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2 years ago

Three kids play tennis at the same tennis courts. Mark plays every fourth day, David plays every seventh day and Bryan plays eve

Tatiana [17]

Answer:

Friday, August 17th

Step-by-step explanation:

Mark plays every 4th day

18th of July,21st of July,24th of July, 27th of July, 30th of July, 2nd of August,5th of August, 8th of August, 11th of August, 14th of August, 17th of August

Bryan plays every 6th day

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David plays every seventh day

18th of July,24th of July,30th of July, 5th of August, 11th of August, 17th of August

The next day when all three of them will be at the court together is Friday, August 17th

7 0

2 years ago

Read 2 more answers

Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people c

Alex17521 [72]

Answer:

a) $X=3300$

b) $Y=7770$

Step-by-step explanation:

From the question we are told that:

Number Teachers $T=6$

Number Student $S=12$

Number in committee $n=5$

a) Generally the equation for exactly 3 students on the committee is mathematically given by

$X=^{S}C_3*^{T}C_3$

$X=^{12}C_3*^{6}C_3$

$X=3300$

b) Generally the equation for at least one teacher and at least one student on the committee is mathematically given by

Total Ways-(no of ways of selection no teacher or student)

Where total Ways

$T=^{(6+12)}C_5$

$T=8568$

Therefore

$Y=8568-^{6}C_0*^{12}C_5+^{12}C_0*^{6}C_5$

$Y=8568-798$

$Y=7770$

8 0

2 years ago

In college basketball, some teams get most of their points from just one player, and other teams are more balanced in scoring. C

lutik1710 [3]

Answer:

(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.

(D)The mean number of points per player per game is the same at all 3 schools.

Step-by-step explanation:

<u>Baylor University</u>

6 players who each score 12 points per game

6 players who each score 0 points per game.

The Scores are: 0,0,0,0,0,0,12,12,12,12,12,12

$Mean=\frac{0+0+0+0+0+0+12+12+12+12+12+12}{12} \\Mean=6\\Median=\frac{12+0}{2}=6$

<u>University of Maryland</u>

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<u> Dartmouth College</u>

4 players score 5 points per game,

4 players score 6 points per game,

4 players score 7 points per game.

The Scores are: 5,5,5,5,6,6,6,6,7,7,7,7

$Mean=\frac{5+5+5+5+6+6+6+6+7+7+7+7}{12} \\Mean=6\\Median=\frac{6+6}{2}=6$

The following applies:

(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.

(D)The mean number of points per player per game is the same at all 3 schools.

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